Final answer:
The probability of getting 5 when asking your mom and then your sister is 1/6.
Step-by-step explanation:
To find the probability of getting 5 when asking your mom and then your sister, we need to determine the probability of each event separately and then multiply them together.
First, let's look at the probability of getting 5 from your mom. She gives you 5 if you roll a 1 or a 2, which means there are 2 favorable outcomes out of 6 possible outcomes. So, the probability of getting 5 from your mom is 2/6 or 1/3.
Next, let's consider the probability of getting 5 from your sister. She gives you 5 if you roll an odd number, which means there are 3 favorable outcomes out of 6 possible outcomes. So, the probability of getting 5 from your sister is 3/6 or 1/2.
To find the probability of getting 5 from both your mom and sister, we multiply the individual probabilities together: 1/3 * 1/2 = 1/6.
So, the probability of getting 5 is 1/6.